r= a(1 – cos 0) is called a The cardioid has equation (x² +y² + ax)* = a°(x? + y*) %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
icon
Related questions
Question
A uzem.altinbas.edu.tr
D (152) Force Vector Alo-
I Homework
F.
Student -
All Courses -
English (en) -
UZEM -
Q
The curve given by the polar equation
r= a(1 – cos 0)
ered
12
is called a
The cardioid has
equation
f18
Fin
(x? +y² + ax}* = a (x² + y*)
ion
To sketch the graph of
r = 4(1 – cosO)
we first observe that if a point (r,0) lies on the graph then
lies also on the same graph. This shows that the graph
Therefore, it suffices to let
is symmetric about the
change between 0 and
If e is
then r is 0. Next, we compute the values of r for
increasing values of 0. If 0 is
then r is approximately
Similarly, if 0 is
then r is
then r is approximately
In the
Also if e is
case of 0=T/2 we have r=4 because
is zero. If 0 is
we have r is
Also, if 0=5T/6 then r is
approximately
Finally, r is
when 0 is Tt.
Transcribed Image Text:A uzem.altinbas.edu.tr D (152) Force Vector Alo- I Homework F. Student - All Courses - English (en) - UZEM - Q The curve given by the polar equation r= a(1 – cos 0) ered 12 is called a The cardioid has equation f18 Fin (x? +y² + ax}* = a (x² + y*) ion To sketch the graph of r = 4(1 – cosO) we first observe that if a point (r,0) lies on the graph then lies also on the same graph. This shows that the graph Therefore, it suffices to let is symmetric about the change between 0 and If e is then r is 0. Next, we compute the values of r for increasing values of 0. If 0 is then r is approximately Similarly, if 0 is then r is then r is approximately In the Also if e is case of 0=T/2 we have r=4 because is zero. If 0 is we have r is Also, if 0=5T/6 then r is approximately Finally, r is when 0 is Tt.
uzem.altinbas.edu.tr
O Homework
ord -
UZEM -
Student -
All Courses
English (en) -
approximately
Finally, r is
when 0 is Tt.
e from 0 to 2m)
26
-4
+2
Cartesian
cosine
Tt/4
26
(r.-0)
TT
2n/3
8.
1.17
cardioid
T/6
0.54
the line y=x+2
у-аxis
X-axis
7.46
Tt/3
s page
Next page
Transcribed Image Text:uzem.altinbas.edu.tr O Homework ord - UZEM - Student - All Courses English (en) - approximately Finally, r is when 0 is Tt. e from 0 to 2m) 26 -4 +2 Cartesian cosine Tt/4 26 (r.-0) TT 2n/3 8. 1.17 cardioid T/6 0.54 the line y=x+2 у-аxis X-axis 7.46 Tt/3 s page Next page
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning